Discontinuous galerkin methods for flow and electro-magnetic problems

用于解决流动和电磁问题的不连续伽辽金方法

• 批准号: 288315-2007
• 负责人: Schötzau, Dominik
• 金额: $ 1.97万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2009
• 资助国家: 加拿大
• 起止时间: 2009-01-01 至 2010-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=427308
• 关键词: Discontinuous; galerkin; methods; flow; electro

Discontinuous Galerkin methods are specialized numerical methods for the computer simulation of complex phenomena in the sciences and engineering. Although the first discontinuous Galerkin method was devised back in 1973, these methods experienced a significant development during the nineties which brought them to the mainstream of computational fluid dynamics. In recent years, these methods are being applied to many other problems of engineering interest including electro-magnetics and structural mechanics. The recent success of discontinuous Galerkin methods can be attributed to their flexibility and versatility. These methods can deal robustly with partial differential equations of almost any kind, as well as with equations whose type changes within the computational domain. They are ideally suited for multi-physics applications and for problems with highly varying material properties in complex geometries. Moreover, discontinuous Galerkin methods can easily handle irregularly refined meshes and variable approximation degrees; a property referred to as hp-adaptivity.

间断伽辽金方法是计算机模拟科学和工程中复杂现象的专用数值方法。虽然第一个不连续Galerkin方法是在1973年设计的，但这些方法在九十年代经历了重大发展，使它们成为计算流体动力学的主流。近年来，这些方法正被应用于许多其他问题的工程利益，包括电磁学和结构力学。间断Galerkin方法最近的成功可以归因于它们的灵活性和通用性。这些方法可以稳健地处理几乎任何类型的偏微分方程，以及其类型在计算域内变化的方程。它们非常适合多物理场应用和复杂几何形状中材料特性变化很大的问题。此外，不连续伽辽金方法可以很容易地处理不规则的细化网格和可变的近似度，一个属性被称为hp-自适应。